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In the present contribution, we discuss the behavior of Skyrme forces when they are employed to study both neutron stars and giant resonance states in 208Pb within the fully self-consistent Random Phase Approximation (RPA). We point out…

Nuclear Theory · Physics 2009-06-12 G. Colo'

We investigate the role of the effective nucleon-nucleon interaction in the description of giant dipole resonances in hot nuclei. For this purpose we calculate the response function of hot nuclear matter to a small isovector external…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. L. Braghin , D. Vautherin , A. Abada

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes…

Nuclear Theory · Physics 2015-06-15 J. Navarro , A. Polls

We propose a new scheme for constructing an effective-field-theory-based interaction to be used in the energy-density-functional (EDF) theory with specific assumptions for defining a power counting. This procedure is developed through the…

Nuclear Theory · Physics 2017-09-27 C. -J. Yang , M. Grasso , D. Lacroix

We propose new effective inter-nucleon forces with a finite-range three-body operator. The proposed forces are suitable for describing the nuclear structure properties over a wide mass number region, including the saturation point of…

Nuclear Theory · Physics 2009-11-10 Y. Kanada-En'yo , Y. Akaishi

Low-energy nuclear structure and reactions can be described in a systematically improvable way using the framework of chiral effective field theory. This requires solving the quantum mechanical many-body problem with regularized nuclear…

Nuclear Theory · Physics 2023-12-22 Hermann Krebs , Evgeny Epelbaum

We study the equation of state of symmetric nuclear matter at zero temperature over a wide range of densities using two complementary theoretical approaches. At low densities up to twice nuclear saturation density, we compute the energy per…

Nuclear Theory · Physics 2020-11-24 M. Leonhardt , M. Pospiech , B. Schallmo , J. Braun , C. Drischler , K. Hebeler , A. Schwenk

The self-consistent mean-field (SCMF) theory describes many properties of the ground state and excited states of the atomic nucleus, such as masses, radii, deformations and giant resonance energies. SCMF models are based on the independent…

Nuclear Theory · Physics 2014-08-05 Marco Brenna

We extend a recent chiral approach to nuclear matter by including the most general (momentum-independent) NN-contact interaction. Iterating this two-parameter contact-vertex with itself and with one-pion exchange the emerging energy per…

Nuclear Theory · Physics 2009-11-10 S. Fritsch , N. Kaiser

Using an infinitesimal approach, this work addresses the renormalization problem to deal with the ultraviolet divergences arising in quantum field theory. Under the assumption that the action has already been renormalized to yield an…

High Energy Physics - Theory · Physics 2025-09-09 L. L. Salcedo

Most of the Skyrme interactions are known to predict spin or isospin instabilities beyond the saturation density of nuclear matter which contradict predictions based on realistic interactions. A modification of the standard Skyrme…

Nuclear Theory · Physics 2015-05-13 Jérôme Margueron , Hiroyuki Sagawa

We discuss the regularization of attractive singular potentials $-\alpha _{s}/r^{s}$, $s\geq 2$ by infinitesimal imaginary addition to interaction constant $\alpha_{s}=\alpha_{s}\pm i0$. Such a procedure enables unique definition of…

Quantum Physics · Physics 2009-02-05 A. Yu. Voronin

This paper examines the role that regularization plays in the definition of the potential used in effective field theory (EFT) treatments of the nucleon-nucleon interaction. I consider $NN$ scattering in $S$-wave channels at momenta well…

Nuclear Theory · Physics 2007-05-23 D. R. Phillips

We propose a new regularization scheme to study the bound state of two-nucleon systems in Lattice Effective Field Theory. Inspired by continuum EFT calculation, we study an exponential regulator acting on the leading-order (LO) and…

Nuclear Theory · Physics 2020-10-16 M. Ahmadi , M. R. Hadizadeh , M. Radin , S. Bayegan

We give a brief review on the development of phenomenological NN interactions and the corresponding quantification of statistical uncertainties. We look into the uncertainty of effective interactions broadly used in mean field calculations…

Nuclear Theory · Physics 2016-02-01 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

In developing theories of nuclear binding energy such as density-functional theory, the effort required to make a fit can be daunting due to the large number of parameters that may be in the theory and the large number of nuclei in the mass…

Nuclear Theory · Physics 2009-11-10 G. F. Bertsch , B. Sabbey , M. Uusnakki

The problem of pairing in the $^{1}$S$_{0}$ channel of finite nuclei is revisited. In nuclear matter forces of separable form can be adjusted to the bare nuclear force, to any phenomenological pairing interaction such as the Gogny force or…

Nuclear Theory · Physics 2010-11-23 Y. Tian , Z. Y. Ma , P. Ring

We discuss how the renormalization group can be used to derive effective nuclear interactions. Starting from the model-independent low-momentum interaction V_{low k}, we successively integrate out high-lying particle and hole states from…

Nuclear Theory · Physics 2009-11-10 Achim Schwenk

The study of inhomogeneous neutron matter can provide insights into the structure of neutron stars as well as their dynamics in neutron-star mergers. In this work we tackle pure neutron matter in the presence of a periodic external field by…

Nuclear Theory · Physics 2022-02-25 Mateusz Buraczynski , Samuel Martinello , Alexandros Gezerlis

In a recent series of papers, Gebremariam, Bogner, and Duguet derived a microscopically based nuclear energy density functional by applying the Density Matrix Expansion (DME) to the Hartree-Fock energy obtained from chiral effective field…

Nuclear Theory · Physics 2010-12-02 M. Stoitsov , M. Kortelainen , S. K. Bogner , T. Duguet , R. J. Furnstahl , B. Gebremariam , N. Schunck